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Finding the Fourth Proportional to 11,725.60, 16,145.04 and 9,733.60

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Solution

The fourth proportional to 11,725.60, 16,145.04 and 9,733.60 is: 13,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.60 : 16,145.04 = 9,733.60 : x
  2. Step 2: Convert to fraction form
    11,725.60/16,145.04 = 9,733.60/x
  3. Step 3: Cross multiply
    11,725.60x = 16,145.04 × 9,733.60
  4. Step 4: Simplify right side
    11,725.60x = 157,149,361.34
  5. Step 5: Solve for x
    x = 157,149,361.34/11,725.60
  6. Step 6: Final answer
    x = 13,402.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.